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Popular >

extreme 2x+2/x

Solution

extreme points

2 x + \frac{2}{x}

Solution

Maximum (- 1, - 4), Minimum (1, 4)

Solution steps

f^{'} (x) = 2 - \frac{2}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

2 x + \frac{2}{x} : - 4

Maximum (- 1, - 4)

Plug

x = 1

into

2 x + \frac{2}{x} : 4

Minimum (1, 4)

Maximum (- 1, - 4), Minimum (1, 4)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 2x+2/x ?
The extreme 2x+2/x is Maximum(-1,-4),Minimum(1,4)